{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# PCA for Algorithmic Trading"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "PCA is useful for algorithmic trading in several respects. These include the data-driven derivation of risk factors by applying PCA to asset returns, and the construction of uncorrelated portfolios based on the principal components of the correlation matrix of asset returns."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In [Chapter 07 - Linear Models](../../07_linear_models), we explored risk factor models used in quantitative finance to capture the main drivers of returns. These models explain differences in returns on assets based on their exposure to systematic risk factors and the rewards associated with these factors. \n",
    "\n",
    "In particular, we explored the Fama-French approach that specifies factors based on prior knowledge about the empirical behavior of average returns, treats these factors as observable, and then estimates risk model coefficients using linear regression. An alternative approach treats risk factors as latent variables and uses factor analytic techniques like PCA to simultaneously estimate the factors and how the drive returns from historical returns.\n",
    "\n",
    "In this section, we will review how this method derives factors in a purely statistical or data-driven way with the advantage of not requiring ex-ante knowledge of the behavior of asset returns."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Imports & Settings"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-12-27T18:12:07.502586Z",
     "start_time": "2018-12-27T18:12:07.357028Z"
    }
   },
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "\n",
    "import warnings\n",
    "import os\n",
    "from pathlib import Path\n",
    "import quandl\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns\n",
    "from sklearn.decomposition import PCA, IncrementalPCA, FastICA\n",
    "from sklearn.preprocessing import scale"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-12-27T18:12:07.506605Z",
     "start_time": "2018-12-27T18:12:07.504140Z"
    }
   },
   "outputs": [],
   "source": [
    "warnings.filterwarnings('ignore')\n",
    "sns.set_style('darkgrid')\n",
    "np.random.seed(42)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Get returns for equities with highest market cap"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We will use the Quandl stock price data and select the daily adjusted close prices the 500 stocks with the largest market capitalization and data for the 2010-2018 period. We then compute the daily returns as follows:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-12-27T18:12:13.010973Z",
     "start_time": "2018-12-27T18:12:07.507688Z"
    }
   },
   "outputs": [],
   "source": [
    "idx = pd.IndexSlice\n",
    "with pd.HDFStore('../../data/assets.h5') as store:\n",
    "    stocks = store['us_equities/stocks'].marketcap.nlargest(500)\n",
    "    returns = (store['quandl/wiki/prices']\n",
    "               .loc[idx['2010': '2018', stocks.index], 'adj_close']\n",
    "               .unstack('ticker')\n",
    "               .pct_change())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We obtain 215 stocks and returns for over 2,000 trading days:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-12-27T18:12:13.025429Z",
     "start_time": "2018-12-27T18:12:13.012691Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<class 'pandas.core.frame.DataFrame'>\n",
      "DatetimeIndex: 2072 entries, 2010-01-04 to 2018-03-27\n",
      "Columns: 215 entries, AAPL to GSBD\n",
      "dtypes: float64(215)\n",
      "memory usage: 3.4 MB\n"
     ]
    }
   ],
   "source": [
    "returns.info()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Winsorize & standardize returns"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "PCA is sensitive to outliers so we winsorize the data at the 2.5% and 97.5% quantiles, respectively:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-12-27T18:12:13.109423Z",
     "start_time": "2018-12-27T18:12:13.027000Z"
    }
   },
   "outputs": [],
   "source": [
    "returns = returns.clip(lower=returns.quantile(q=.025),\n",
    "                       upper=returns.quantile(q=.975),\n",
    "                       axis=1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Impute missing values"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "PCA does not permit missing data, so we will remove stocks that do not have data for at least 95% of the time period, and in a second step remove trading days that do not have observations on at least 95% of the remaining stocks."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-12-27T18:12:13.134780Z",
     "start_time": "2018-12-27T18:12:13.110532Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<class 'pandas.core.frame.DataFrame'>\n",
      "DatetimeIndex: 2071 entries, 2010-01-05 to 2018-03-27\n",
      "Columns: 173 entries, AAPL to PLOW\n",
      "dtypes: float64(173)\n",
      "memory usage: 2.7 MB\n"
     ]
    }
   ],
   "source": [
    "returns = returns.dropna(thresh=int(returns.shape[0] * .95), axis=1)\n",
    "returns = returns.dropna(thresh=int(returns.shape[1] * .95))\n",
    "returns.info()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We are left with 173 equity return series covering a similar period."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We impute any remaining missing values using the average return for any given trading day:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-12-27T18:12:13.253593Z",
     "start_time": "2018-12-27T18:12:13.136091Z"
    }
   },
   "outputs": [],
   "source": [
    "daily_avg = returns.mean(1)\n",
    "returns = returns.apply(lambda x: x.fillna(daily_avg))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Fit PCA"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now we are ready to fit the principal components model to the asset returns using default parameters to compute all components using the full SVD algorithm:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-12-27T18:12:13.259940Z",
     "start_time": "2018-12-27T18:12:13.254615Z"
    }
   },
   "outputs": [],
   "source": [
    "cov = np.cov(returns, rowvar=False) "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-12-27T18:12:22.000842Z",
     "start_time": "2018-12-27T18:12:13.260842Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "PCA(copy=True, iterated_power='auto', n_components='mle', random_state=None,\n",
       "  svd_solver='auto', tol=0.0, whiten=False)"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pca = PCA(n_components='mle')\n",
    "pca.fit(returns)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Visualize Explained Variance"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We find that the most important factor explains around 30% of the daily return variation. The dominant factor is usually interpreted as ‘the market’, whereas the remaining factors can be interpreted as industry or style factors in line with our discussion in chapters 5 and 7, depending on the results of closer inspection (see next example). \n",
    "\n",
    "The plot on the right shows the cumulative explained variance and indicates that around 10 factors explain 60% of the returns of this large cross-section of stocks.  "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The cumulative plot shows a typical 'elbow' pattern that can help identify a suitable target dimensionality because it indicates that additional components add less explanatory value."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-12-27T18:12:22.241471Z",
     "start_time": "2018-12-27T18:12:22.001725Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1008x288 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axes = plt.subplots(ncols=2, figsize=(14,4))\n",
    "pd.Series(pca.explained_variance_ratio_).iloc[:15].sort_values().plot.barh(title='Explained Variance Ratio by Top Factors',ax=axes[0]);\n",
    "pd.Series(pca.explained_variance_ratio_).cumsum().plot(ylim=(0,1),ax=axes[1], title='Cumulative Explained Variance');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-12-27T18:12:22.253224Z",
     "start_time": "2018-12-27T18:12:22.242368Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<class 'pandas.core.frame.DataFrame'>\n",
      "DatetimeIndex: 2071 entries, 2010-01-05 to 2018-03-27\n",
      "Data columns (total 2 columns):\n",
      "Principal Component 1    2071 non-null float64\n",
      "Principal Component 2    2071 non-null float64\n",
      "dtypes: float64(2)\n",
      "memory usage: 48.5 KB\n"
     ]
    }
   ],
   "source": [
    "risk_factors = pd.DataFrame(pca.transform(returns)[:, :2], \n",
    "                            columns=['Principal Component 1', 'Principal Component 2'], \n",
    "                            index=returns.index)\n",
    "risk_factors.info()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can select the top two principal components to verify that they are indeed uncorrelated:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-12-27T18:12:22.259238Z",
     "start_time": "2018-12-27T18:12:22.254721Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "-1.1270779275205213e-14"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "risk_factors['Principal Component 1'].corr(risk_factors['Principal Component 2'])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Moreover, we can plot the time series to highlight how each factor captures different volatility patterns."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-12-27T18:12:22.513595Z",
     "start_time": "2018-12-27T18:12:22.260361Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1008x432 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "risk_factors.plot(subplots=True, figsize=(14,6));"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "A risk factor model would employ a subset of the principal components as features to predict future returns, similar to our approach in chapter 7."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Simulation for larger number of stocks"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-12-27T18:12:26.094017Z",
     "start_time": "2018-12-27T18:12:22.514735Z"
    }
   },
   "outputs": [],
   "source": [
    "idx = pd.IndexSlice\n",
    "with pd.HDFStore('../../data/assets.h5') as store:\n",
    "    returns = (store['quandl/wiki/prices']\n",
    "              .loc[idx['2000': '2018', :], 'adj_close']\n",
    "              .unstack('ticker')\n",
    "              .pct_change())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-12-27T18:13:23.517678Z",
     "start_time": "2018-12-27T18:12:26.094998Z"
    }
   },
   "outputs": [],
   "source": [
    "pca = PCA()\n",
    "n_trials, n_samples = 100, 500\n",
    "explained = np.empty(shape=(n_trials, n_samples))\n",
    "for trial in range(n_trials):\n",
    "    returns_sample = returns.sample(n=n_samples)\n",
    "    returns_sample = returns_sample.dropna(thresh=int(returns_sample.shape[0] * .95), axis=1)\n",
    "    returns_sample = returns_sample.dropna(thresh=int(returns_sample.shape[1] * .95))\n",
    "    daily_avg = returns_sample.mean(1)\n",
    "    returns_sample = returns_sample.apply(lambda x: x.fillna(daily_avg))\n",
    "    pca.fit(returns_sample)\n",
    "    explained[trial, :len(pca.components_)] = pca.explained_variance_ratio_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-12-27T18:13:23.557417Z",
     "start_time": "2018-12-27T18:13:23.518567Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<class 'pandas.core.frame.DataFrame'>\n",
      "RangeIndex: 100 entries, 0 to 99\n",
      "Columns: 500 entries, 1 to 500\n",
      "dtypes: float64(500)\n",
      "memory usage: 390.7 KB\n"
     ]
    }
   ],
   "source": [
    "explained = pd.DataFrame(explained, columns=list(range(1, explained.shape[1] + 1)))\n",
    "explained.info()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-12-27T18:13:23.954177Z",
     "start_time": "2018-12-27T18:13:23.558408Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1008x324 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axes =plt.subplots(ncols=2, figsize=(14, 4.5))\n",
    "pc10 = explained.iloc[:, :10].stack().reset_index()\n",
    "pc10.columns = ['Trial','Principal Component', 'Value']\n",
    "\n",
    "pc10['Cumulative'] = pc10.groupby('Trial').Value.transform(np.cumsum)\n",
    "sns.barplot(x='Principal Component', y='Value', data=pc10, ax=axes[0])\n",
    "sns.lineplot(x='Principal Component', y='Cumulative', data=pc10, ax=axes[1])\n",
    "fig.suptitle('Explained Variance of Top 10 Principal Components | 100 Trials')\n",
    "fig.tight_layout()\n",
    "fig.subplots_adjust(top=.90);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Eigenportfolios"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Another application of PCA involves the covariance matrix of the normalized returns. The principal components of the correlation matrix capture most of the covariation among assets in descending order and are mutually uncorrelated. Moreover, we can use standardized the principal components as portfolio weights.\n",
    "\n",
    "Let’s use the 30 largest stocks with data for the 2010-2018 period to facilitate the exposition:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-12-27T18:13:25.145237Z",
     "start_time": "2018-12-27T18:13:23.956822Z"
    }
   },
   "outputs": [],
   "source": [
    "idx = pd.IndexSlice\n",
    "with pd.HDFStore('../../data/assets.h5') as store:\n",
    "    stocks = store['us_equities/stocks'].marketcap.nlargest(30)\n",
    "    returns = (store['quandl/wiki/prices']\n",
    "               .loc[idx['2010': '2018', stocks.index], 'adj_close']\n",
    "               .unstack('ticker')\n",
    "               .pct_change())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We again winsorize and also normalize the returns:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-12-27T18:13:25.172304Z",
     "start_time": "2018-12-27T18:13:25.146546Z"
    }
   },
   "outputs": [],
   "source": [
    "normed_returns = scale(returns\n",
    "                       .clip(lower=returns.quantile(q=.025), \n",
    "                             upper=returns.quantile(q=.975), \n",
    "                             axis=1)\n",
    "                      .apply(lambda x: x.sub(x.mean()).div(x.std())))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-12-27T18:13:25.182444Z",
     "start_time": "2018-12-27T18:13:25.173393Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<class 'pandas.core.frame.DataFrame'>\n",
      "DatetimeIndex: 2070 entries, 2010-01-05 to 2018-03-27\n",
      "Data columns (total 15 columns):\n",
      "AAPL     2070 non-null float64\n",
      "BJRI     2070 non-null float64\n",
      "BOOM     2070 non-null float64\n",
      "BPFH     2070 non-null float64\n",
      "DBD      2070 non-null float64\n",
      "FARO     2070 non-null float64\n",
      "LMNX     2070 non-null float64\n",
      "MTSC     2070 non-null float64\n",
      "NOG      2070 non-null float64\n",
      "NWLI     2070 non-null float64\n",
      "PJC      2070 non-null float64\n",
      "RBCAA    2070 non-null float64\n",
      "SCSC     2070 non-null float64\n",
      "TBI      2070 non-null float64\n",
      "TPC      2070 non-null float64\n",
      "dtypes: float64(15)\n",
      "memory usage: 258.8 KB\n"
     ]
    }
   ],
   "source": [
    "returns = returns.dropna(thresh=int(returns.shape[0] * .95), axis=1)\n",
    "returns = returns.dropna(thresh=int(returns.shape[1] * .95))\n",
    "returns.info()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-12-27T18:13:25.186236Z",
     "start_time": "2018-12-27T18:13:25.183719Z"
    }
   },
   "outputs": [],
   "source": [
    "cov = returns.cov()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-12-27T18:13:25.521967Z",
     "start_time": "2018-12-27T18:13:25.187189Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.clustermap(cov);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "After dropping assets and trading days as in the previous example, we are left with 23 assets and over 2,000 trading days. We estimate all principal components and find that the two largest explain 57.6% and 12.4% of the covariation, respectively:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-12-27T18:13:25.564880Z",
     "start_time": "2018-12-27T18:13:25.523051Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<style  type=\"text/css\" >\n",
       "</style><table id=\"T_d4d17554_63aa_11e9_80d1_6045cb72e6b3\" ><thead>    <tr>        <th class=\"blank level0\" ></th>        <th class=\"col_heading level0 col0\" >Explained Variance</th>    </tr></thead><tbody>\n",
       "                <tr>\n",
       "                        <th id=\"T_d4d17554_63aa_11e9_80d1_6045cb72e6b3level0_row0\" class=\"row_heading level0 row0\" >0</th>\n",
       "                        <td id=\"T_d4d17554_63aa_11e9_80d1_6045cb72e6b3row0_col0\" class=\"data row0 col0\" >57.62%</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_d4d17554_63aa_11e9_80d1_6045cb72e6b3level0_row1\" class=\"row_heading level0 row1\" >1</th>\n",
       "                        <td id=\"T_d4d17554_63aa_11e9_80d1_6045cb72e6b3row1_col0\" class=\"data row1 col0\" >12.41%</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_d4d17554_63aa_11e9_80d1_6045cb72e6b3level0_row2\" class=\"row_heading level0 row2\" >2</th>\n",
       "                        <td id=\"T_d4d17554_63aa_11e9_80d1_6045cb72e6b3row2_col0\" class=\"data row2 col0\" >6.67%</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_d4d17554_63aa_11e9_80d1_6045cb72e6b3level0_row3\" class=\"row_heading level0 row3\" >3</th>\n",
       "                        <td id=\"T_d4d17554_63aa_11e9_80d1_6045cb72e6b3row3_col0\" class=\"data row3 col0\" >5.54%</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_d4d17554_63aa_11e9_80d1_6045cb72e6b3level0_row4\" class=\"row_heading level0 row4\" >4</th>\n",
       "                        <td id=\"T_d4d17554_63aa_11e9_80d1_6045cb72e6b3row4_col0\" class=\"data row4 col0\" >3.48%</td>\n",
       "            </tr>\n",
       "    </tbody></table>"
      ],
      "text/plain": [
       "<pandas.io.formats.style.Styler at 0x7f03f718e3c8>"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pca = PCA()\n",
    "pca.fit(cov)\n",
    "pd.Series(pca.explained_variance_ratio_).to_frame('Explained Variance').head().style.format('{:,.2%}'.format)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Create PF weights from principal components"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Next, we select and normalize the four largest components so that they sum to 1 and we can use them as weights for portfolios that we can compare to an equal-weighted portfolio formed from all stocks::"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-12-27T18:13:25.569951Z",
     "start_time": "2018-12-27T18:13:25.566311Z"
    }
   },
   "outputs": [],
   "source": [
    "top4 = pd.DataFrame(pca.components_[:4], columns=cov.columns)\n",
    "eigen_portfolios = top4.div(top4.sum(1), axis=0)\n",
    "eigen_portfolios.index = [f'Portfolio {i}' for i in range(1, 5)]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Eigenportfolio Weights"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The weights show distinct emphasis, e.g., portfolio 3 puts large weights on Mastercard and Visa, the two payment processors in the sampel whereas potfolio 2 has more exposure to some technology companies:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-12-27T18:13:26.126582Z",
     "start_time": "2018-12-27T18:13:25.570953Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1008x432 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "eigen_portfolios.T.plot.bar(subplots=True, layout=(2,2), figsize=(14,6), legend=False, sharey=True);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Eigenportfolio Performance"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "When comparing the performance of each portfolio over the sample period to ‘the market’ consisting of our small sample, we find that portfolio 1 performs very similarly, whereas the other portfolios capture different return patterns."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-12-27T18:13:26.578242Z",
     "start_time": "2018-12-27T18:13:26.127635Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1008x576 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axes = plt.subplots(nrows=2, ncols=2, figsize=(14,8), sharex=True)\n",
    "axes = axes.flatten()\n",
    "returns.mean(1).add(1).cumprod().sub(1).plot(title='The Market', ax=axes[0]);\n",
    "for i in range(3):\n",
    "    returns.mul(eigen_portfolios.iloc[i]).sum(1).add(1).cumprod().sub(1).plot(title=f'Portfolio {i+1}', ax=axes[i+1]);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
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